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Authors are invited to submit individual contributions to any of Symposium topics. Send an extended abstract of at most one page length, prior to February 1st, 2017, to bifd2017@shsu.edu. In the accom...
We study generic unfoldings of homoclinic tangencies of two dimensional area preserving diffeomorphisms (conservative Newhouse phenomena) and show that they give rise to invariant hyperbolic sets of a...
We found that a degenerate bifurcation point occurs in the resulting slow flow and some of the bifurcations near this point were looked at. In this work we present additional results concerning the bi...
We investigate the dynamics of two-strategy replicator equa-tions in which competition between strategies is delayed by a given time interval T. Taking T as a bifurcation parameter, we demonstrate the...
We investigate the dynamics of three-strategy (rock–paper–scissors) replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T....
We investigate the dynamics of two-strategy replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T. We analyze two models: ...
We are still far from a comprehensive theory of bifurcation in dynamical systems with multiple time scales. However, systematic application of geometric methods and study of examples have produced d...
Relaxation oscillations are periodic orbits of multiple time scale dynamical systems that contain both slow and fast segments. The slow-fast decomposition of these orbits is de ned in the singular l...
Models of neuronal bursting have been studied extensively as illustrated throughout this volume. Di erent types of periodic bursting have been observed and classi ed according to criteria related to...
This paper investigates travelling wave solutions of the FitzHugh–Nagumo equation from the viewpoint of fast-slow dynamical systems. These solutions are homoclinic orbits of a three dimensional vect...
In a previous paper [11] we presented algorithms for detecting Hopf bifurcations in two-parameter families of vector elds based on classical algebraic constructions. In addition to their utility as...
This paper examines algorithms for computing periodic orbits of dynamical systems. Our goal is to explore the limits of accuracy that are attainable for these calculations within the pragmatic conte...
The forced van der Pol oscillator has been the focus of scientific scrutiny for almost a century, yet its global bifurcation structure is still poorly understood. In this paper, we present a hybrid s...
We study the structure and stability of nonlinear impurity modes in the discrete nonlinear Schrödinger equation with a single on-site nonlinear impurity emphasizing the effects of interplay betwe...
The key physical parameters for the "eb_go_gs" configuration of version 2.7.4 of GENIE, an Earth system model of intermediate complexity (EMIC), are tuned using a multi-objective genetic algorithm. An...

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