Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps
From MaRDI portal
Publication:1686687
DOI10.1016/j.physd.2016.07.006zbMath1376.37047arXiv1510.02252OpenAlexW2260567049MaRDI QIDQ1686687
Sergey V. Gonchenko, A. S. Gonchenko
Publication date: 15 December 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.02252
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Chaotic behavior of solutions of difference equations (39A33)
Related Items (26)
On discrete homoclinic attractors of three-dimensional diffeomorphisms ⋮ Spiral chaos in the nonholonomic model of a Chaplygin top ⋮ Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors ⋮ On the Chaotic Dynamics Associated with the Center Manifold Equations of Double-Diffusive Convection Near a Codimension-Four Bifurcation Point at Moderate Thermal Rayleigh Number ⋮ ANALYSIS OF HIDDEN ATTRACTORS OF NON-EQUILIBRIUM FRACTAL-FRACTIONAL CHAOTIC SYSTEM WITH ONE SIGNUM FUNCTION ⋮ On Shilnikov attractors of three-dimensional flows and maps ⋮ Scenarios for the creation of hyperchaotic attractors in 3D maps ⋮ Dynamical study of a novel 4D hyperchaotic system: an integer and fractional order analysis ⋮ On the classification of homoclinic attractors of three-dimensional flows ⋮ Unnamed Item ⋮ Bifurcations and chaos in a three-dimensional generalized Hénon map ⋮ Criteria on existence of horseshoes near homoclinic tangencies of arbitrary orders ⋮ A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation ⋮ Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction ⋮ Homoclinic tangencies to resonant saddles and discrete Lorenz attractors ⋮ Asymptotically exact codimension-four dynamics and bifurcations in two-dimensional thermosolutal convection at high thermal Rayleigh number: chaos from a quasi-periodic homoclinic explosion and quasi-periodic intermittency ⋮ Merger of a Hénon-like attractor with a Hénon-like repeller in a model of vortex dynamics ⋮ Motion of a smooth foil in a fluid under the action of external periodic forces. I. ⋮ Scenarios of hyperchaos occurrence in 4D Rössler system ⋮ Symbolic partition in chaotic maps ⋮ Hyperchaos and multistability in the model of two interacting microbubble contrast agents ⋮ Shilnikov attractors in three-dimensional orientation-reversing maps ⋮ Wild pseudohyperbolic attractor in a four-dimensional Lorenz system ⋮ On scenarios of the onset of homoclinic attractors in three-dimensional non-orientable maps ⋮ Lorenz- and Shilnikov-Shape Attractors in the Model of Two Coupled Parabola Maps ⋮ On discrete Lorenz-like attractors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the effect of invisibility of stable periodic orbits at homoclinic bifurcations
- On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors
- Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps
- The dynamics of the Hénon map
- The reversal and chaotic attractor in the nonholonomic model of Chaplygin's top
- Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation
- A two-dimensional mapping with a strange attractor
- Asymptotic chaos
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Bifurcation set in a system with homoclinic saddle curve
- Possible new strange attractors with spiral structure
- On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
- The bifurcations of separatrix contours and chaos
- Computer-assisted techniques for the verification of the Chebyshev property of abelian integrals
- Richness of chaotic dynamics in nonholonomic models of a Celtic stone
- Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points
- Three-dimensional dissipative diffeomorphisms with homoclinic tangencies
- Lorenz-like attractors in a nonholonomic model of a rattleback
- On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I
- ON SYSTEMS WITH A SADDLE-FOCUS HOMOCLINIC CURVE
- Invariant two-dimensional tori, their breakdown and stochasticity
- The Lorenz attractor exists
- NORMAL FORMS AND LORENZ ATTRACTORS
- An example of a wild strange attractor
- Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
- KNEADINGS, SYMBOLIC DYNAMICS AND PAINTING LORENZ CHAOS
- Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight
- Examples of Lorenz-like Attractors in Hénon-like Maps
- On Global Bifurcations of Three-dimensional Diffeomorphisms Leading to Lorenz-like Attractors
- THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
- ON MATRICES DEPENDING ON PARAMETERS
- Non-existence of stable trajectories in non-autonomous perturbations of systems of Lorenz type
This page was built for publication: Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps