Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order (2009)
Jost, Jürgen, Li-Jost, Xianqing, Wang, Qiaoling, Xia, Changyu
We investigate the eigenvalues of the buckling problem of arbitrary order on compact domains in Euclidean spaces and spheres. We obtain universal bounds for the $k$th eigenvalue in terms of the lower...
Universal Bounds for Eigenvalues of the Polyharmonic Operators (2009)
Jost, Jürgen, Li-Jost, Xianqing, Wang, Qiaoling, Xia, Changyu
We study eigenvalues of polyharmonic operators on compact Riemannian manifolds with boundary (possibly empty). In particular, we prove a universal inequality for the eigenvalues of the polyharmonic...
Stollhoff, Rainer, Kennerknecht, Ingo, Jost, Jürgen
No abstract available.
Multilinear models for the auditory brainstem (2009)
Englitzu, Bernhard, Ahrens, Misha, Tolnai, Sandra, Rübsamen, Rudolf, Sahani, Maneesh, Jost, Jürgen
No abstract available.
Jost, Jürgen, Şimşir, Fatma Muazzez
We introduce a class of maps from an affine flat into a Riemannian manifold that solve an elliptic system defined by the natural second order elliptic operator of the affine structure and the...
Some explicit construcitons of Dirac-harmonic maps (2009)
Jost, Jürgen, Mo, Xiaohuan, Zhu, Miaomiao
We construct explicit examples of Dirac-harmonic maps (phi, psi) between Riemannian manifolds (M,g) and (N,g') which are non-trivial in the sense that [phi] is not harmonic. When dim M = 2, we also...
Autonomy: An Information–Theoretic Perspective (2008)
Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost
We present a tentative proposal for a quantitative measure of autonomy. This is something that, surprisingly, seems to be missing from the literature, even though autonomy is considered to be a basic...
Chaos synchronization in networks of coupled maps with time-varying topologies (2008)
Lu, Wenlian, Atay, Fatihcan M., Jost, Jürgen
Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion...
Synchronization of discrete-time dynamical networks with time-varying couplings (2008)
Lu, Wenlian, Atay, Fatihcan M., Jost, Jürgen
We study the local complete synchronization of discrete-time dynamical networks with time-varying couplings. Our conditions for the temporal variation of the couplings are rather general and include...
Individual strategies in complementarity games and population dynamics (2008)
We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to...
Summary. The theory of dynamical networks is concerned with systems of dynamical units coupled according to an underlying graph structure. It therefore investigates the interplay between dynamics and...
Symbolic dynamics for delayed maps and networks (2008)
Atay, Fatihcan M., Jalan, Sarika, Jost, Jürgen
We introduce the concept of avoiding sets for investigating symbolic dynamics of discrete dynamical systems with time delays. Such sets arise from specific non-generating partitions of the phase...
SYNCHRONIZATION OF DISCRETE-TIME DYNAMICAL NETWORKS WITH TIME-VARYING COUPLINGS (2008)
Wenlian Lu, Fatihcan M. Atay, Jürgen Jost, Wenlian Lu, Fatihcan M. Atay, Jürgen Jost
networks with time-varying couplings by
Jürgen Jost, Nils Bertschinger, Eckehard Olbrich
An information theoretic approach to system differentiation on the basis of statistical
Autonomy: an information theoretic perspective (2008)
Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost
We present a tentative proposal for a quantitative measure of autonomy. This is something that, surprisingly, seems to be missing from the literature, even though autonomy is considered to be a basic...
Gutkin, Boris, Jost, Jürgen, Tuckwell, Henry
Neurons in the central nervous system are affected by complex and noisy signals due to fluctuations in their cellular environment and in the inputs they receive from many other cells. Such noise...
Randomness, chaos, and structure (2007)
Atay, Fatihcan, Jalan, Sarika, Jost, Jürgen
We show how a simple scheme of symbolic dynamics distinguishes a chaotic from a random time series and how it can be used to detect structural relationships in coupled dynamics. This is relevant for...
Spectral plots and the representation and interpretation of biological data (2007)
Banerjee, Anirban, Jost, Jürgen
It is basic question in biology and other fields to identify the char- acteristic properties that on one hand are shared by structures from a particular realm, like gene regulation, protein-protein...
Graph spectra as a systematic tool in computational biology (2007)
Banerjee, Anirban, Jost, Jürgen
We present the spectrum of the (normalized) graph Laplacian as a systematic tool for the investigation of networks, and we describe basic properties of eigenvalues and eigenfunctions. Processes of...
On the spectrum of the normalized graph Laplacian (2007)
Banerjee, Anirban, Jost, Jürgen
The spectrum of the normalized graph Laplacian yields a very comprehensive set of invariants of a graph. In order to understand the information contained in those invariants better, we systematically...
Laplacian Spectrum and Protein-Protein Interaction Networks (2007)
Banerjee, Anirban, Jost, Jürgen
From the spectral plot of the (normalized) graph Laplacian, the essential qualitative properties of a network can be simultaneously deduced. Given a class of empirical networks, reconstruction...
Å�ÜÈÐ�Ò�ÁÒ×Ø�ØÙØ für Mathematik in den Naturwissenschaften Leipzig (2007)
Boris Gutkin, Jürgen Jost, Henry Tuckwell, Boris Gutkin, Jürgen Jost, Henry C. Tuckwell
Random perturbations of spiking activity in a pair of coupled neurons by
Mathematical Methods in Biology and (2007)
Copyright by the author. No reproduction or distribution without the author’s permission
Information and closure in systems theory (2006)
Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost
The notion of closure plays a prominent role in systems theory where it is used to identify or define the system in distinction from its environment and to explain the autonomy of the system. Here,...
Detection of synchronised chaos in coupled map networks using symbolic dynamics (2006)
Jalan, Sarika, Atay, Fatihcan M., Jost, Jürgen
We present a method based on symbolic dynamics for the detection of synchronization in networks of coupled maps and distinguishing between chaotic and random iterations. The symbolic dynamics are...
Detection of synchronised chaos in coupled map networks using symbolic dynamics (2005)
Jalan, Sarika, Atay, Fatihcan M., Jost, Jürgen
We present a method based on symbolic dynamics for the detection of synchronization in networks of coupled maps and distinguishing between chaotic and random iterations. The symbolic dynamics are...
Analytic Aspects of the Toda System: II. Bubbling behavior and existence of solutions (2005)
Jost, Jürgen, Lin, Chang-Shou, Wang, Guofang
In this paper, we continue to consider the 2-dimensional (open) Toda system (Toda lattice) for $SU(N+1)$. We give a much more precise bubbling behavior of solutions and study its existence in some...
Formal aspects of the emergence of institutions (2005)
We argue that social institutions emerge on the basis of the human cognitive ability to integrate an evaluation of the behavior and performances of other group members over long time periods. The...
Atay, Fatihcan M., Jost, Jürgen
We argue that the coordination of the activities of individual complex agents enables a system to develop and sustain complexity at a higher level. We exemplify relevant mechanisms through computer...
Delays, connection topology, and synchronization of coupled chaotic maps (2003)
Atay, Fatihcan M., Jost, Jürgen, Wende, Andreas
We consider networks of coupled maps where the connections between units involve time delays. We show that, similar to the undelayed case, the synchronization of the network depends on the connection...
Å�Ü ÈÐ�Ò � ÁÒ×Ø�ØÙØ für Mathematik in den Naturwissenschaften Leipzig (2003)
External and internal complexity of complex adaptive systems by
Å�Ü ÈÐ�Ò � ÁÒ×Ø�ØÙØ für Mathematik in den Naturwissenschaften Leipzig (2003)
Fatihcan M. Atay, Jürgen Jost, Fatihcan M. Atay, Jürgen Jost
On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements by
Atay, Fatihcan M., Jost, Jürgen
We argue that the coordination of the activities of individual complex agents enables a system to develop and sustain complexity at a higher level. We exemplify relevant mechanisms through computer...
Maps with prescribed tension fields (2003)
We consider maps into a Riemannian manifold of nonpositive sectional curvature with prescribed tension field. We derive a priori estimates and solve a Dirichlet problem.
Classification of solutions of a Toda system in R2 (2002)
We consider solutions of the following (open) Toda system (Toda lattice) for SU(N + 1)$$-\frac{1}{2}\Delta {u}_{i}=\sum _{j=1}^{N}{a}_{ij}\hbox{ \hspace{0.17em} }{e}^{{u}_{j}}\hbox{ \hspace{0.17em}...
Jürgen Jost, Weiyue Ding, Weiyue Ding, J Urgen Jost, Jiayu Li, Jiayu Li, ...
. The abelian Chern-Simons-Higgs model of Hong-Kim-Pac and JackiwWeinberg leads to a Ginzburg-Landau type functional with a 6 th order potential on a compact Riemann surface. We derive the existence...
Bernstein Type Theorems for Higher Codimension (1998)
Jürgen Jost, Yuan-long Xin, J. Jost
. We show a Bernstein theorem for minimal graphs of arbitrary dimension and codimension under a bound on the slope that improve previous results and is independent of the dimension and codimension....
Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere (1998)
Weiyue Ding, Weiyue Ding, Jürgen Jost, Jurgen Jost, Jiayu Li, Jiayu Li, ...
We consider a Ginzburg-Landau type functional on S 2 with a 6 th order potential and the corresponding selfduality equations. We study the limiting behavior in the two vortex case when a coupling...
Existence Results for Mean Field Equations (1997)
Jürgen Jost, Weiyue Ding, Weiyue Ding, J Urgen Jost, Jiayu Li, Jiayu Li, ...
. Let\Omega be an annulus. We prove that the mean field equation \Gamma\Delta/ = e \Gammafi/ R\Omega e \Gammafi/ in\Omega / = 0 on @\Omega admits a solution for fi 2 (\Gamma16ß; \Gamma8ß). This is...
Vanishing theorems for L²-cohomology groups (1997)
Jürgen Jost, Yuanlong L. Xin, For L, J. Jost, Y. L. Xin
this paper into the proper perspective, we should also discuss other cases where such results are known. In the case of Kahler manifolds, the vanishing result (1.5) was shown independently by M....
The gene and the genon concept: a functional and information-theoretic analysis
‘Gene' has become a vague and ill-defined concept. To set the stage for mathematical analysis of gene storage and expression, we return to the original concept of the gene as a function encoded in...
We analyse here the definition of the gene in order to distinguish, on the basis of modern insight in molecular biology, what the gene is coding for, namely a specific polypeptide, and how its...
Gutkin, Boris S., Jost, Jürgen, Tuckwell, Henry C.
The effects of noise on neuronal dynamical systems are of much current interest. Here, we investigate noise-induced changes in the rhythmic firing activity of single Hodgkin–Huxley neurons. With...
Reliability of Synaptic Transmission at the Synapses of Held In Vivo under Acoustic Stimulation
Englitz, Bernhard, Tolnai, Sandra, Typlt, Marei, Jost, Jürgen, Rübsamen, Rudolf
Random perturbations of spiking activity in a pair of coupled neurons
Gutkin, Boris, Jost, Jürgen, Tuckwell, Henry C.
We examine the effects of stochastic input currents on the firing behaviour of two coupled Type 1 or Type 2 neurons. In Hodgkin–Huxley model neurons with standard parameters, which are Type 2, in...