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Title:           Energy function of 2D and 3D coarse systems
Subject:         Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 199 (2025) 116643. doi:10.1016/j.chaos.2025.116643
Keywords:        Energy function,Coarse systems,Zero-Hopf bifurcation,Van der Pol system,Li-Sprott model
Author:          Jean-Marc Ginoux
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     Item: 
      Title: Energy function of 2D and 3D coarse systems
      Children: 
       Item: 
        Title: Introduction
        Children: 
         Item: 
          Title: Two and three-dimensional coarse systems
         Item: 
          Title: Flow Curvature Method
         Item: 
          Title: Energy function and its rate of change
       Item: 
        Title: Acceleration equation and energy function of 2D ``coarse systems''
        Children: 
         Item: 
          Title: Classical method
         Item: 
          Title: Helmholtz's theorem
         Item: 
          Title: Flow Curvature Method
       Item: 
        Title: Jerk equation and energy function of three-dimensional ``coarse systems''
        Children: 
         Item: 
          Title: Classical method
         Item: 
          Title: Helmholtz's theorem
         Item: 
          Title: Flow Curvature Method
       Item: 
        Title: Applications
        Children: 
         Item: 
          Title: Van der Pol system
         Item: 
          Title: Modified Li-Sprott model
       Item: 
        Title: Discussion
       Item: 
        Title: CRediT authorship contribution statement
       Item: 
        Title: Declaration of competing interest
       Item: 
        Title: Acknowledgments
       Item: 
        Title: Appendix A. Identity between energy functions and their rate of change
       Item: 
        Title: Appendix B. Additional term in the energy function H of 2D coarse systems
       Item: 
        Title: Appendix C. Additional term in the energy function H of 3D coarse systems
       Item: 
        Title: Data availability
       Item: 
        Title: References
   Info: 
    Title: Energy function of 2D and 3D coarse systems
    Author: Jean-Marc Ginoux
    Subject: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 199 (2025) 116643. doi:10.1016/j.chaos.2025.116643
    Keywords: Energy function,Coarse systems,Zero-Hopf bifurcation,Van der Pol system,Li-Sprott model
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