• helperOC

  • Referenced in 4 articles [sw40042]
  • properties of dynamical systems; it has been applied to many small-scale systems ... advantages include compatibility with general nonlinear system dynamics, formal treatment of bounded disturbances...
  • PDE-Net

  • Referenced in 91 articles [sw36963]
  • same time: to accurately predict dynamics of complex systems and to uncover the underlying hidden ... nonlinear responses. Comparing with existing approaches, which either assume the form of the nonlinear response ... learning both differential operators and the nonlinear responses. A special feature of the proposed ... uncover the hidden PDE of the observed dynamics, and predict the dynamical behavior...
  • Chaos

  • Referenced in 4 articles [sw01127]
  • software package for the study of dynamical systems. This work presents a new software package ... capabilities. The chaotic behaviors of the nonlinear dynamics systems were analyzed using phase-space maps...
  • Optgame

  • Referenced in 6 articles [sw04936]
  • functions are quadratic and the dynamic system is nonlinear. The nonlinear system equations are linearized...
  • pyunicorn

  • Referenced in 8 articles [sw19314]
  • nonlinear time series analysis for complex systems science: The pyunicorn package. We introduce the pyunicorn ... modeling from complex network theory and nonlinear time series analysis. exttt{pyunicorn} is a fully ... pyunicorn provides insights into the nonlinear dynamics of complex systems as recorded...
  • ProbRel

  • Referenced in 3 articles [sw10154]
  • designed to analyze random phenomena in nonlinear dynamic systems. The present paper describes some schemes...
  • PyDMD

  • Referenced in 5 articles [sw38466]
  • powerful tool for analyzing the dynamics of nonlinear systems. DMD relies only on the high ... assumptions about the underlying system. See Kutz (”Dynamic Mode Decomposition: Data-Driven Modeling of Complex...
  • DAISY

  • Referenced in 54 articles [sw09059]
  • nonlinear but identifiability analysis for nonlinear system turns out to be a difficult mathematical problem ... literature to test identifiability of nonlinear models but, to the best of our knowledge ... been proposed for automatically checking identifiability of nonlinear models. In this paper, we describe ... parameter identifiability analysis for (linear and) nonlinear dynamic models described by polynomial or rational equations...
  • C2e2

  • Referenced in 11 articles [sw20139]
  • properties of hybrid system and Stateflow models. It supports nonlinear dynamics...
  • SINDy-PI

  • Referenced in 4 articles [sw40367]
  • nonlinear dynamics. Accurately modelling the nonlinear dynamics of a system from measurement data ... identification of nonlinear dynamics (SINDy) algorithm is one approach to discover dynamical systems models from ... SINDy algorithm to identify implicit dynamics and rational nonlinearities. The SINDy-PI framework includes multiple...
  • LDDS

  • Referenced in 2 articles [sw42878]
  • able to work with dynamical systems with continuous flows and discrete maps in deterministic ... versatility of this package. Nonlinear dynamical systems are ubiquitous in natural and engineering sciences, such...
  • Extended-GC

  • Referenced in 1 article [sw38880]
  • system can be statistically linearized; i.e., the dynamics can be effectively modeled by linear regressive ... interactions within the system. However, for nonlinear dynamical systems such as the Hodgkin–Huxley ... connectivity of the system. This consistency is also insensitive to dynamical regimes, e.g., a chaotic ... principle be applied to any nonlinear dynamical system as long as its attractor...
  • CasADi

  • Referenced in 56 articles [sw06437]
  • efficient solution of nonlinear optimization problems in general and dynamic optimization problems in particular ... best described as a minimalistic computer algebra system (CAS) implementing automatic differentiation in eight different ... state-of-the-art numerical codes for nonlinear programming, quadratic programming and integration of differential...
  • SReach

  • Referenced in 5 articles [sw20158]
  • problems, and become infeasible for systems involving both nonlinear dynamics over the reals and stochasticity ... biological models and additional benchmarks for nonlinear hybrid systems with multiple probabilistic system parameters...
  • Nolds

  • Referenced in 2 articles [sw32357]
  • NOnLinear measures for Dynamical Systems (nolds). Nolds is a small numpy-based library that provides ... learning resource for nonlinear measures for dynamical systems based on one-dimensional time series...
  • DChaos

  • Referenced in 2 articles [sw39837]
  • diverse disciplines. Chaotic systems are nonlinear deterministic dynamic systems which can behave like an erratic ... relevant field inside chaos theory and nonlinear time series analysis is the detection...
  • VIATOC

  • Referenced in 6 articles [sw31485]
  • control using gradient projection and code generation. Nonlinear model predictive control (NMPC) is a control ... actually used. The dynamics of the system can be nonlinear and there can be constraints...
  • MPDopt

  • Referenced in 1 article [sw23094]
  • predictive control of smooth and switched nonlinear dynamic systems. Over the years, adjoint-based model ... control sequences for dynamic systems governed by differentiable nonlinear equations. This paper extends this versatile ... class of nonsmooth systems in which the dynamical equation governing the physical system experiences sudden...
  • OPTCON

  • Referenced in 14 articles [sw02660]
  • algorithm for the optimal control of nonlinear dynamic control that allows for additive uncertainty ... system equations. The first step consists in approximating the time-invariant nonlinear system...
  • NLMEModeling

  • Referenced in 1 article [sw35987]
  • Nonlinear Mixed Effects Modeling of Dynamical Systems. Nonlinear mixed effects modeling is a powerful tool ... NLMEModeling supports mixed effects modeling of dynamical systems where the underlying dynamics are described...