Results 21 to 30 of about 169 (74)
The Emergence of Bull and Bear Dynamics in a Nonlinear Model of Interacting Markets
Discrete Dynamics in Nature and Society, Volume 2009, Issue 1, 2009., 2009 We develop a three‐dimensional nonlinear dynamic model in which the stock markets of two countries are linked through the foreign exchange market. Connections are due to the trading activity of heterogeneous speculators. Using analytical and numerical tools, we seek to explore how the coupling of the markets may affect the emergence of bull and bear ...
Fabio Tramontana +4 more
wiley +1 more source
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
, 2012 A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor.
Abad A. +19 more
core +1 more source
Stabilization of heterodimensional cycles
, 2011 We consider diffeomorphisms $f$ with heteroclinic cycles associated to saddles $P$ and $Q$ of different indices. We say that a cycle of this type can be stabilized if there are diffeomorphisms close to $f$ with a robust cycle associated to hyperbolic ...
C Bonatti +14 more
core +1 more source
Temporal dissipative solitons in time-delay feedback systems [PDF]
, 2019 This is the final version. Available from American Physical Society via the DOI in this record.Localized states are a universal phenomenon observed in spatially distributed dissipative nonlinear systems. Known as dissipative solitons, auto-solitons, spot
Ruschel, S +3 more
core +7 more sources
Computational Study in Chaotic Dynamical Systems and Mechanisms for Pattern Generation in Three-Cell Networks [PDF]
, 2015 A computational technique is introduced to reveal the complex intrinsic structure of homoclinic and heteroclinic bifurcations in a chaotic dynamical system.
Xing, Tingli
core +3 more sources
Bifurcation Analysis of the Dynamics in COVID‐19 Transmission through Living and Nonliving Media
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.Transmission of COVID‐19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the treatment to overcome it.
Ario Wiraya +6 more
wiley +1 more source
Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons [PDF]
, 2014 Understanding common dynamical principles underlying an abundance of widespread brain behaviors is a pivotal challenge in the new century. The bottom-up approach to the challenge should be based on solid foundations relying on detailed and systematic ...
Barrio Gil, Roberto +3 more
core +2 more sources
Homoclinic Bifurcations for the Henon Map
, 1999 Chaotic dynamics can be effectively studied by continuation from an anti-integrable limit. We use this limit to assign global symbols to orbits and use continuation from the limit to study their bifurcations.
Aubry +38 more
core +4 more sources
The Planet Nine Hypothesis [PDF]
, 2019 Over the course of the past two decades, observational surveys have unveiled the intricate orbital structure of the Kuiper Belt, a field of icy bodies orbiting the Sun beyond Neptune.
Adams, Fred C. +3 more
core +2 more sources
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster
, 2011 The well-studied Hindmarsh-Rose model of neural action potential is revisited from the point of view of global bifurcation analysis. This slow-fast system of three paremeterised differential equations is arguably the simplest reduction of Hodgkin-Huxley ...
Champneys, Alan +3 more
core +3 more sources