Wild dynamics on manifolds

We survey a few results on differentiable, symplectic, or analytic wild dynamics.

• Publication year

  2025

• Venue

  Unknown venue

• Publication date

  2025-10-14

• Fields of study

  Mathematics

• Identifiers
  arXiv 2510.12929
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk

  2025influential reference
• Generators of groups of Hamiltonian maps

  2024cited by this paper
• Analytic pseudo-rotations II: a principle for spheres, disks and annuli

  2024influential reference
• Every diffeomorphism is a total renormalization of a close to identity map

  2022influential reference
• Absolutely Periodic Billiard Orbits of Arbitrarily High Order

  2022cited by this paper
• Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface

  2021cited by this paper
• Germ-typicality of the coexistence of infinitely many sinks

  2021cited by this paper
• Dynamical Systems

  2021cited by this paper
• Geometric methods in holomorphic dynamics

  2021cited by this paper
• Non-statistical rational maps

  2020cited by this paper
• Emergence of wandering stable components

  2020influential reference
• Complexities of differentiable dynamical systems

  2019influential reference
• Strong regularity

  2019influential reference
• On Emergence and Complexity of Ergodic Decompositions

  2019influential reference
• Emergence via non-existence of averages

  2019cited by this paper
• A global view of dynamics and a conjecture on the denseness of finitude of attractors

  2018cited by this paper
• SOME QUESTIONS AROUND QUASI-PERIODIC DYNAMICS

  2018cited by this paper
• Zoology in the Hénon family: twin babies and Milnor's swallows

  2018influential reference
• Generic family displaying robustly a fast growth of the number of periodic points

  2017influential reference
• On Herman's positive entropy conjecture

  2017cited by this paper
• Abundance of Fast Growth of the Number of Periodic Points in 2-Dimensional Area-Preserving Dynamics

  2016cited by this paper
• Emergence and non-typicality of the finiteness of the attractors in many topologies

  2016influential reference
• Takens' last problem and existence of non-trivial wandering domains

  2015cited by this paper
• Communications in Mathematical Physics Maps Close to Identity and Universal Maps in the Newhouse Domain

  2015influential reference
• Generic family with robustly infinitely many sinks

  2014influential reference
• On the Hausdorff Dimension of Newhouse Phenomena

  2014cited by this paper
• Nested Cantor sets

  2013cited by this paper
• Abundance of Non-uniform Hyperbolicity in Bifurcations of Surface Endomorphisms

  2011influential reference
• Universal dynamics in a neighborhood of a generic elliptic periodic point

  2010cited by this paper
• Abundance of non-uniformly hyperbolic H\'enon like endomorphisms

  2009influential reference
• Elliptic isles in families of area-preserving maps

  2008influential reference
• Toward a theory of rank one attractors

  2008influential reference
• Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps

  2007cited by this paper
• Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles

  2006cited by this paper
• Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective

  2004influential reference
• Constructions in elliptic dynamics

  2004cited by this paper
• Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps

  2003influential reference
• On maximal transitive sets of generic diffeomorphisms

  2003influential reference
• A Rigorous ODE Solver and Smale’s 14th Problem

  2002cited by this paper
• Non-trivial wandering domains and homoclinic bifurcations

  2001cited by this paper
• Solution of the basin problem for Hénon-like attractors

  2001influential reference
• Markov Extensions and Decay of Correlations for Certain Hénon Maps

  2000influential reference
• Connexions hétéroclines et généricité d'une infinité de puits et de sources

  1999cited by this paper
• Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits

  1999influential reference
• Some open problems in dynamical systems.

  1998influential reference
• Infinitely many periodic attractors for holomorphic maps of $2$ variables

  1997cited by this paper
• Quadratic Maps with Maximal Oscillation

  1995cited by this paper
• Plenty of elliptic islands for the standard family of area preserving maps

  1994cited by this paper
• Abundance of strange attractors

  1993influential reference
• The Dynamics of the Henon Map

  1991influential reference
• The Newhouse set has a positive Hausdorff dimension

  1990cited by this paper
• Dynamical properties of plane polynomial automorphisms

  1989cited by this paper
• How often do simple dynamical processes have infinitely many coexisting sinks?

  1986cited by this paper
• Examples of conservative diffeomorphisms of the two-dimensional torus with coexistence of elliptic and stochastic behaviour

  1982cited by this paper
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps

  1981cited by this paper
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms

  1979influential reference
• A two-dimensional mapping with a strange attractor

  1976cited by this paper
• Diffeomorphisms with infinitely many sinks

  1974cited by this paper
• Research concerning the theory of non-linear resonance and stochasticity

  1971cited by this paper
• On the nature of turbulence

  1971cited by this paper
• Differentiable dynamical systems

  1967influential reference
• The applicability of the third integral of motion: Some numerical experiments

  1964cited by this paper
• Deterministic nonperiodic flow

  1963cited by this paper
• SOME UNSOLVED PROBLEMS OF THEORETICAL DYNAMICS.

  1941cited by this paper
• Recent Contributions to the Ergodic Theory.

  1932cited by this paper
• méthodes nouvelles de la mécanique céleste

  year unknowncited by this paper

• No citing papers are available for this paper.