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Transient chaos in the Lorenz-type map with periodic forcing

https://doi.org/10.1063/1.5018265
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/tpbi.1995.1023openalex-snapshot
Bifurcation Structure of a Three-Species Food-Chain Model
inferredcites →https://doi.org/10.1007/1-84628-577-1_4openalex-snapshot
Control of dynamic bifurcations
inferredcites →https://doi.org/10.1007/978-3-0348-7518-9_12openalex-snapshot
On stability loss delay for a periodic trajectory
inferredcites →https://doi.org/10.1007/bf02368429openalex-snapshot
Nonlinear dynamics, fractals and chaos: Applications to cardiac electrophysiology
inferredcites →https://doi.org/10.1007/bfb0085019openalex-snapshot
Dynamic Bifurcations
inferredcites →https://doi.org/10.1016/0167-2789(91)90068-kopenalex-snapshot
Slow sweep through a period-doubling cascade: Delayed bifurcations and renormalisation
inferredcites →https://doi.org/10.1016/0306-4522(94)90489-8openalex-snapshot
The brain as a dynamic physical system
inferredcites →https://doi.org/10.1016/j.chaos.2011.12.018openalex-snapshot
Synchronization in time-discrete model of two electrically coupled spike-bursting neurons
inferredcites →https://doi.org/10.1016/j.physd.2008.03.036openalex-snapshot
Climate dynamics and fluid mechanics: Natural variability and related uncertainties
inferredcites →https://doi.org/10.1016/j.physd.2011.06.005openalex-snapshot
Stochastic climate dynamics: Random attractors and time-dependent invariant measures
inferredcites →https://doi.org/10.1017/s0305004100054736openalex-snapshot
The topological classification of Lorenz attractors
inferredcites →https://doi.org/10.1038/370615a0openalex-snapshot
Controlling chaos in the brain
inferredcites →https://doi.org/10.1063/1.2795435openalex-snapshot
Chaotic oscillations in a map-based model of neural activity
inferredcites →https://doi.org/10.1063/1.4811545openalex-snapshot
Dynamic boundary crisis in the Lorenz-type map
inferredcites →https://doi.org/10.1063/1.4917287openalex-snapshot
The joy of transient chaos
inferredcites →https://doi.org/10.1063/1.4955084openalex-snapshot
Attractors of relaxation discrete-time systems with chaotic dynamics on a fast time scale
inferredcites →https://doi.org/10.1088/0305-4470/32/1/005openalex-snapshot
Memory effects and scaling laws in slowly driven systems
inferredcites →https://doi.org/10.1098/rsta.2016.0288openalex-snapshot
Transient sequences in a hypernetwork generated by an adaptive network of spiking neurons
inferredcites →https://doi.org/10.1103/physreve.49.1094openalex-snapshot
Converting transient chaos into sustained chaos by feedback control
inferredcites →https://doi.org/10.1103/physreve.52.3558openalex-snapshot
Suppression and creation of chaos in a periodically forced Lorenz system
inferredcites →https://doi.org/10.1103/physreve.59.1646openalex-snapshot
Controlling transient chaos in deterministic flows with applications to electrical power systems and ecology
inferredcites →https://doi.org/10.1103/physreve.78.036205openalex-snapshot
Slow acceleration and deacceleration through a Hopf bifurcation: Power ramps, target nucleation, and elliptic bursting
inferredcites →https://doi.org/10.1103/physreve.90.012901openalex-snapshot
Modular networks with delayed coupling: Synchronization and frequency control
inferredcites →https://doi.org/10.1103/physrevlett.57.2657openalex-snapshot
Laser Chaotic Attractors in Crisis
inferredcites →https://doi.org/10.1103/physrevlett.77.4740openalex-snapshot
Sustaining Chaos by Using Basin Boundary Saddles
inferredcites →https://doi.org/10.1111/j.1600-0706.2005.14129.xopenalex-snapshot
When can noise induce chaos and why does it matter: a critique
inferredcites →https://doi.org/10.1137/s0036139993257399openalex-snapshot
Slow Passage Through a Pitchfork Bifurcation
inferredcites →https://doi.org/10.1142/s0218127410026733openalex-snapshot
MAP BASED MODELS IN NEURODYNAMICS
inferredcites →https://doi.org/10.1175/1520-0469(1963)020<0130:dnf>2.0.co;2openalex-snapshot
Deterministic Nonperiodic Flow
inferredcites →https://doi.org/10.1515/zpch-1995-1920105openalex-snapshot
Transient Complex Oscillations in the Closed Belousov-Zhabotinsky Reaction: Experimental and Computational Studies
inferredcites →https://doi.org/10.5194/npg-19-315-2012openalex-snapshot
Oscillating forcings and new regimes in the Lorenz system: a four-lobe attractor

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4621330openalex-extracted
A Novel State Estimation for Systems Under Strong Noise Based on Fractional-Order Chaos Oscillator
inferred← citeshttps://doi.org/10.1016/j.chaos.2022.111797openalex-snapshot
Multiple dynamics analysis of Lorenz-family systems and the application in signal detection
inferred← citeshttps://doi.org/10.1063/5.0188464openalex-snapshot
Analysis of dynamics of a map-based neuron model via Lorenz maps
inferred← citeshttps://doi.org/10.1088/1674-1056/ab7e98openalex-snapshot
Multistability and coexisting transient chaos in a simple memcapacitive system*
inferred← citeshttps://doi.org/10.1088/2632-072x/abd67bopenalex-snapshot
Transient chaos in time-delayed systems subjected to parameter drift
inferred← citeshttps://doi.org/10.1103/physreve.108.024203openalex-snapshot
Rate and memory effects in bifurcation-induced tipping
inferred← citeshttps://doi.org/10.1140/epjp/i2019-12804-xopenalex-snapshot
Transient motion and chaotic dynamics in a pair of van der Pol oscillators
inferred← citeshttps://doi.org/10.1142/s0218127421500292openalex-snapshot
Transient Dynamics of the Lorenz System with a Parameter Drift
inferred← citeshttps://doi.org/10.1142/s0218127422500225openalex-snapshot
A New Generalized Hamiltonian Chaotic System with Transient Quasi-Periodic Flows and Intermittent Chaos
inferred← citeshttps://doi.org/10.34768/amcs-2023-0028openalex-snapshot
Spike patterns and chaos in a map-based neuron model
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