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第七届分叉与不稳定流体动力学国际研讨会（The Seventh International Symposium on Bifurcations and Instabilities in Fluid Dynamics）
第七届 分叉与不稳定流体动力学 国际研讨会
2017/1/11
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...
Conservative homoclinic bifurcations and some applications
conservative dynamics homoclinic bifurcations Newhouse phenomena persistent tangencies Hausdorff dimension standard map three body problem Sitnikov problem
2015/9/25
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...
Bifurcations in a Mathieu equation with cubic nonlinearities:Part II
Mathieu equation Bifurcations Averaging
2015/8/27
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...
Hopf Bifurcations in Two-Player Delayed Replicator Dynamics
Hopf Bifurcations Two-Player Delayed Replicator Dynamics
2015/8/26
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...
Hopf Bifurcations in Delayed Rock–Paper–Scissors Replicator Dynamics
Replicator Delay Hopf bifurcation Limit cycle Lindstedt
2015/8/26
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....
Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics
Replicator Delay Hopf bifurcation Limit cycle Lindstedt
2015/8/26
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...
Bifurcations of Relaxation Oscillations near Folded Saddles
Folded Saddles Relaxation Oscillations
2015/8/25
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...
Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System
homoclinic bifurcation singular perturbation
2015/8/25
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...
COMPUTING HOPF BIFURCATIONS II: THREE EXAMPLES FROM NEUROPHYSIOLOGY
Hopf bifurcation resultant bialternate product neuron model
2015/8/25
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...
Computing Periodic Orbits and their Bifurcations with Automatic Differentiation
Automatic Differentiation Computing Periodic Orbits
2015/8/25
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 Equation I: The Slow Flow and Its Bifurcations
van der Pol oscillator hybrid dynamical system
2015/8/25
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...
Instabilities and bifurcations of nonlinear impurity modes
Stability of nonlinear discrete impurity mode nonlinear schrodinger equation the discrete soliton discrete breathing
2014/12/29
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...
An optimally tuned ensemble of the "eb_go_gs" configuration of GENIE: parameter sensitivity and bifurcations in the Atlantic overturning circulation
optimally tuned ensemble eb_go_gs configuration of GENIE parameter sensitivity and bifurcations Atlantic overturning circulation
2014/12/12
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...