Abundance of strange attractors
From MaRDI portal
Publication:1314801
DOI10.1007/BF02392766zbMath0815.58016MaRDI QIDQ1314801
Publication date: 30 June 1995
Published in: Acta Mathematica (Search for Journal in Brave)
Related Items
Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension, Dissecting a resonance wedge on heteroclinic bifurcations, Nilpotent singularities and chaos: tritrophic food chains, Large strange attractors in the unfolding of a heteroclinic attractor, Unfolding a Bykov attractor: from an attracting torus to strange attractors, Non-periodic bifurcations for surface diffeomorphisms, Persistent homoclinic tangencies in the Hénon family, Strange attractors in a dynamical system inspired by a seasonally forced SIR model, Periodically forced double homoclinic loops to a dissipative saddle, Random perturbations and statistical properties of Hénon-like maps, Persistent strange attractors in 3D polymatrix replicators, Persistent homoclinic tangencies and the unfolding of cycles, Skew product cycles with rich dynamics: From totally non-hyperbolic dynamics to fully prevalent hyperbolicity, How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency, Removal of phase transition in the Chebyshev quadratic and thermodynamics for Hénon-like maps near the first bifurcation, The dynamics of a fold-and-twist map, The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits, Large deviations for non-uniformly expanding maps, Simple Scenarios of Onset of Chaos in Three-Dimensional Maps, Multidimensional nonhyperbolic attractors, Simple bifurcations leading to hyperbolic attractors, Conservative homoclinic bifurcations and some applications, Repelling dynamics near a Bykov cycle, Strange attractors in periodically kicked predator-prey system with discrete and distributed delay, Emergence and non-typicality of the finiteness of the attractors in many topologies, Lorenz attractor through saddle-node bifurcations, Renormalization of two-dimensional piecewise linear maps: abundance of 2-D strange attractors, Strange attractors and wandering domains near a homoclinic cycle to a bifocus, Homoclinic tangencies near cascades of period doubling bifurcations, Dynamics of deformed Hénon-like map, Shilnikov's cross-map method and hyperbolic dynamics of three-dimensional Hénon-like maps, Upper large deviations bound for singular-hyperbolic attracting sets, Dynamics of homoclinic tangles in periodically perturbed second-order equations, Typical coexistence of infinitely many strange attractors, The density of the transversal homoclinic points in the Hénon-like strange attractors, Prevalent dynamics at the first bifurcation of Hénon-like families, Nonhyperbolic persistent attractors near the Morse-Smale boundary., Positive Lyapunov exponent for random perturbations of predominantly expanding multimodal circle maps, Strictly invariant sets for 2-D tent maps: 2-D strange attractors, Hopf-zero singularities truly unfold chaos, Strange attractors in periodically-kicked limit cycles and Hopf bifurcations, Expanding Baker maps as models for the dynamics emerging from 3D homoclinic bifurcations, Global generic dynamics close to symmetry, The boundary of hyperbolicity for Hénon-like families, On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors, Complex dynamics in generalized Hénon map, Heteroclinic cycles arising in generic unfoldings of nilpotent singularities, High dimension diffeomorphisms exhibiting infinitely many strange attractors, Blender-horseshoes in Center-unstable Hénon-like Families, A note on modulus of stability for cycles of the complex type, Heterogeneous beliefs and the non-linear cobweb model, Chaotic dynamics in a two-dimensional overlapping generations model., Homoclinic organization in the Hindmarsh–Rose model: A three parameter study, Dense heteroclinic tangencies near a Bykov cycle, Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains, Homoclinic tangencies to resonant saddles and discrete Lorenz attractors, Stability, chaos and multiple attractors: a single agent makes a difference, A robust rational route to randomness in a simple asset pricing model, Renormalizable expanding Baker maps: coexistence of strange attractors, Existence of generic homoclinic tangencies for Hénon mappings, Global bifurcations close to symmetry, Statistical stability for Hénon maps of the Benedicks-Carleson type, Hopf-pitchfork singularities in coupled systems, Finite resolution dynamics, A global perspective for non-conservative dynamics, Positive Lyapunov exponents in families of one dimensional dynamical systems, Shil'nikov configurations in any generic unfolding of the nilpotent singularity of codimension three on \(\mathbb R^3\), Purely imaginary eigenvalues from homoclinic tangencies, Abundance of non-uniform hyperbolicity in bifurcations of surface endomorphisms, Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation, Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties, Chaotic behavior in the unfolding of Hopf-Bogdanov-Takens singularities, Pinball billiards with dominated splitting, Period doubling in the Rössler system -- a computer assisted proof, Homoclinic bifurcations of endomorphisms: The codimension one case, Infinitely many coexisting strange attractors, Saddle-focus singular cycles and prevalence of hyperbolicity, Strange attractors and their periodic repetition, A test for a conjecture on the nature of attractors for smooth dynamical systems, Dissipative homoclinic loops of two-dimensional maps and strange attractors with one direction of instability, Non-Archimedean Hénon maps, attractors, and horseshoes, Properties of the maximal entropy measure and geometry of Hénon attractors, Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles, The basin of the strange attactors of some Hénon maps, Abundance of $C^{1}$-robust homoclinic tangencies, Existence of generic cubic homoclinic tangencies for Hénon maps, Dynamical profile of a class of rank-one attractors, The non-wandering set of some Hénon maps, Abundance of unimodal maps with dense critical orbit and prefixed critical orbit, Rapid decay of correlations for nonuniformly hyperbolic flows, Rank-one strange attractors \textit{versus} heteroclinic tangles, Discrete dynamics in transitional economies, Maps close to identity and universal maps in the Newhouse domain, Non-uniformly expanding dynamics in maps with singularities and criticalities, Attractors in a Šil'nikov-Hopf scenario and a related one-dimensional map, Singular strange attractors beyond the boundary of hyperbolic flows, Endogenous fluctuations under evolutionary pressure in Cournot competition, On the transition from local regular to global irregular fluctuations, Sinai-Bowen-Ruelle measures for certain Hénon maps, Stable manifolds under very weak hyperbolicity conditions, Secondary homoclinic bifurcation theorems, Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms, Strange attractors in higher dimensions, A STRANGE ATTRACTOR WITH LARGE ENTROPY IN THE UNFOLDING OF A LOW RESONANT DEGENERATE HOMOCLINIC ORBIT, Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors, The dynamics of perturbations of the contracting Lorenz attractor, Basins of attraction near homoclinic tangencies, Robust nonhyperbolic dynamics and heterodimensional cycles, Persistence of homoclinic tangencies in higher dimensions, Superpolynomial and polynomial mixing for semiflows and flows, Birkhoff-Hénon attractors for dissipative perturbations of area-preserving twist maps, Emergence of strange attractors from singularities, Coexistence phenomena in the Hénon family, SRB measures for partially hyperbolic attractors of local diffeomorphisms, Splitting and coexistence of 2-D strange attractors in a general family of Expanding Baker Maps, Densely branching trees as models for Hénon-like and Lozi-like attractors, Periodic forcing of a heteroclinic network, On the approximation of Hénon-like attractors by homoclinic tangencies, On inclination-flip homoclinic orbit associated to a saddle-node singularity, A non-transverse homoclinic orbit to a saddle-node equilibrium, Non-critical saddle-node cycles and robust non-hyperbolic dynamics, RANK ONE CHAOS: THEORY AND APPLICATIONS, The abundance of strange attractor in the families of nearby singular diffeomorphism, Hénon-Like Families and Blender-Horseshoes at Nontransverse Heterodimensional Cycles, Lyapunov spectrum for Hénon-like maps at the first bifurcation, Singular strange attractors on the boundary of Morse-Smale systems, Complexity in a Hybrid van der Pol System, A PRICE ADJUSTMENT PROCESS IN A MODEL OF MONOPOLISTIC COMPETITION, Sinai-Bowen-Ruelle measure and the structure of strange attractors in the Lauwerier map, Tangencies for Real and Complex Hénon Maps: An Analytic Method, SRB measures for non-hyperbolic systems with multidimensional expansion, A strange attractor in the unfolding of an orbit-flip homoclinic orbit, Torus-Breakdown Near a Heteroclinic Attractor: A Case Study, A new proof of the stable manifold theorem for hyperbolic fixed points on surfaces, Strange Attractors for Periodically Forced Parabolic Equations, Wild pseudohyperbolic attractor in a four-dimensional Lorenz system, SOME REMARKS ON THE GEOMETRY OF THE STANDARD MAP, Dynamics of surface diffeomorphisms relative to homoclinic and heteroclinic orbits, ON THE BOUNDARY OF TOPOLOGICAL CHAOS FOR THE MILNOR–THURSTON WORLD, Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network, Robust cycles unfolding from conservative bifocal homoclinic orbits
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The dynamics of the Hénon map
- A two-dimensional mapping with a strange attractor
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- Hyperbolicity and the creation of homoclinic orbits
- On the geometry of hyperbolic attractors of smooth cascades
- Stable Orbits and Bifurcation of Maps of the Interval
- Ergodic theory of chaos and strange attractors