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Publications by Leonid Shilnikov

Homoclinic Tangencies of Arbitrarily High Orders in Conservative and Dissipative Two-Dimensional Maps

Nonlinearity
Nonlinear PhysicsApplied MathematicsMathematical PhysicsStatisticalAstronomyPhysics
2007English

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Three-Dimensional Dissipative Diffeomorphisms With Homoclinic Tangencies

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Rigorous Computations of Homoclinic Tangencies

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2006English

Successive Homoclinic Tangencies to a Limit Cycle

Physica D: Nonlinear Phenomena
Nonlinear PhysicsApplied MathematicsMathematical PhysicsCondensed Matter PhysicsStatistical
1995English

Analytical Description of Critical Dynamics for Two-Dimensional Dissipative Nonlinear Maps

Physics Letters, Section A: General, Atomic and Solid State Physics
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2016English

Abundance of $C^{1}$-Robust Homoclinic Tangencies

Transactions of the American Mathematical Society
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2012English

Photoswitchable Dissipative Two‐dimensional Colloidal Crystals

Angewandte Chemie
2019English

Coexistence of Magnetic Orders in Two-Dimensional Magnet CrI3

Nano Letters
Materials ScienceCondensed Matter PhysicsMechanical EngineeringNanoscienceBioengineeringNanotechnologyChemistry
2019English

Homoclinic Trajectories of Non-Autonomous Maps

Journal of Difference Equations and Applications
Applied MathematicsNumber TheoryAnalysisAlgebra
2011English

High-Order Bisection Method for Computing Invariant Manifolds of Two-Dimensional Maps

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
ModelingEngineeringMultidisciplinaryApplied MathematicsSimulation
2011English

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