\textsc{BAL}: a library for the \textit{brute-force} analysis of dynamical systems

DOI10.1016/j.cpc.2015.11.003zbMath1348.37001OpenAlexW2185952978MaRDI QIDQ339357

Daniele Linaro, Marco Storace

Publication date: 10 November 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2015.11.003

zbMATH Keywords

nonlinear systemsLyapunov exponentsbifurcation analysisODEs

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Related Items (3)

Analysis of two- and three-dimensional fractional-order Hindmarsh-Rose type neuronal models ⋮ BAL ⋮ Gillespie algorithm and diffusion approximation based on Monte Carlo simulation for innovation diffusion: a comparative study

Uses Software

• MATCONT
• SUNDIALS
• AUTO
• Chaos
• Boost C++ Libraries
• SWIG
• CVODE
• AUTO-07P
• XPPAUT
• TIDES
• DSTool
• Boost
• TC-HAT
• HDF5
• HomCont

Cites Work

• Unnamed Item
• SUNDIALS
• CVODE
• Scilab software package for the study of dynamical systems
• A new version of Scilab software package for the study of dynamical systems
• Determining Lyapunov exponents from a time series
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Simulating, Analyzing, and Animating Dynamical Systems
• Algorithm 924
• COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL
• Delays in activity-based neural networks
• THE STRUCTURE OF INFINITE PERIODIC AND CHAOTIC HUB CASCADES IN PHASE DIAGRAMS OF SIMPLE AUTONOMOUS FLOWS
• TC-HAT ($\widehat{TC}$): A Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems
• On the complexity of periodic and nonperiodic behaviors of a hysteresis-based electronic oscillator
• Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos
• A NUMERICAL TOOLBOX FOR HOMOCLINIC BIFURCATION ANALYSIS
• METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL
• MATCONT
• SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems
• THE COLPITTS OSCILLATOR: FAMILIES OF PERIODIC SOLUTIONS AND THEIR BIFURCATIONS
• Elements of applied bifurcation theory

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