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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 22
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 4, August 2015
  4. Horseshoes in 3D equations with applications to Lotka–Volterra systems
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 6, December 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 5, October 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 4, August 2015
On a class of nonhomogeneous fractional quasilinear equations in $${\mathbb{R}^n}$$ R n with exponential growth
A control problem in phase transition modeling
On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study
Periodic homogenization under a hypoellipticity condition
Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
Dynamical solutions of singular parabolic equations modeling electrostatic MEMS
Bound states of a nonhomogeneous nonlinear Schrödinger equation with non symmetric potential
Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation
Existence and multiple solutions for a critical quasilinear equation with singular potentials
Multiplicity results for elliptic fractional equations with subcritical term
Non-radial sign-changing solutions for the Schrödinger–Poisson problem in the semiclassical limit
Generalized semiconcavity of the value function of a jump diffusion optimal control problem
Global attractor for the Navier–Stokes equations with fractional deconvolution
Local well-posedness of Yang–Mills equations in Lorenz gauge below the energy norm
Horseshoes in 3D equations with applications to Lotka–Volterra systems
The Benjamin–Bona–Mahony equation with dissipative memory
On the global well-posedness of a generalized 2D Boussinesq equations
Global existence results for eikonal equation with BV initial data
Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 3, June 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 2, April 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 1, February 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Horseshoes in 3D equations with applications to Lotka–Volterra systems

Content Provider SpringerLink
Author Zalin, Fabio Ruiz Herrera, Alfonso
Copyright Year 2015
Abstract We discuss a geometric configuration for a class of homeomorphisms in $${\mathbb{R}^3}$$ producing the existence of infinitely many periodic points as well a complex dynamics due to the presence of a topological horseshoe. We also show that such a class of homeomorphisms appears in the classical Lotka–Volterra system.
Ending Page 897
Page Count 21
Starting Page 877
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 4
Volume Number 22
Language English
Publisher Springer Basel
Publisher Date 2015-01-11
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Switching systems Topological horseshoes Periodic solutions Three dimensional predator–prey equations Analysis Poincaré’s map Fixed points, periodic points, fixed-point index theory Complex dynamics Strange attractors, chaotic dynamics
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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