scientific article

From MaRDI portal
Publication:3314616

zbMath0532.58018MaRDI QIDQ3314616

Valentin Afraimovich, L. P. Shil'nikov

Publication date: 1983


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (34)

Regular and chaotic dynamics in the rubber model of a Chaplygin topOn the birth of discrete Lorenz attractors under bifurcations of 3D maps with nontransversal heteroclinic cyclesChua's circuit and the qualitative theory of dynamical systemsSome historical aspects of nonlinear dynamics -- possible trends for the future``Coherence-incoherence transition in ensembles of nonlocally coupled chaotic oscillators with nonhyperbolic and hyperbolic attractorsSimple bifurcations leading to hyperbolic attractorsOne mechanism of appearance of a spiral quasiattractor involving heteroclinic contoursHomoclinic phenomena in laser modelsThree types of attractors and mixed dynamics of nonholonomic models of rigid body motionVariety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon mapsOn the quasi-hyperbolic regime in a certain family of 2-D piecewise linear mapsOn Shilnikov attractors of three-dimensional flows and mapsOn bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangenciesThe density of the transversal homoclinic points in the Hénon-like strange attractorsOn the classification of homoclinic attractors of three-dimensional flowsOn mixed dynamics of two-dimensional reversible diffeomorphisms with symmetric non-transversal heteroclinic cyclesRelay and complete synchronization in heterogeneous multiplex networks of chaotic mapsOn the effect of invisibility of stable periodic orbits at homoclinic bifurcations(INVITED) Homoclinic puzzles and chaos in a nonlinear laser modelBifurcations for heteroclinic orbits of a periodic motion and a saddle-focus and dynamical chaosHomoclinic chaos in the Rössler modelHomoclinic tangencies to resonant saddles and discrete Lorenz attractorsGlobal bifurcations close to symmetryHyperbolic and non-hyperbolic chaos in a pair of coupled alternately excited FitzHugh-Nagumo systemsScientific heritage of L. P. ShilnikovBirth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle pointsTorus-Breakdown Near a Heteroclinic Attractor: A Case StudyThe role of the saddle-foci on the structure of a Bykov attracting setSmale–Williams solenoids in autonomous system with saddle equilibriumWild pseudohyperbolic attractor in a four-dimensional Lorenz systemOn the Organization of Homoclinic Bifurcation Curves in Systems with Shilnikov Spiral AttractorsOrdered intricacy of Shilnikov saddle-focus homoclinics in symmetric systemsOn discrete Lorenz-like attractorsPrime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps







This page was built for publication: