A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space
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Talat Körpınar
Abstract
In this research, we study bienergy and biangles of moving particles lying on the surface of Lorentzian 3-space by using their energy and angle values. We present the geometrical characterization of bienergy of the particle in Darboux vector fields depending on surface. We also give the relationship between bienergy of the surface curve and bienergy of the elastic surface curve. We conclude the paper by providing bienergy-curve graphics for different cases.
Acknowledgments
The authors are very much grateful to the referees for they constructive comments for the improvement of the paper.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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- Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems
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- Analysis of (α, β)-order coupled implicit Caputo fractional differential equations using topological degree method
- A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space
- Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Dynamic behavior of a stochastic SIRS model with two viruses
- Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems
- Systematic formulation of a general numerical framework for solving the two-dimensional convection–diffusion–reaction system
- Positive periodic solution for inertial neural networks with time-varying delays
- Stability analysis of almost periodic solutions for discontinuous bidirectional associative memory (BAM) neural networks with discrete and distributed delays
- Analysis of (α, β)-order coupled implicit Caputo fractional differential equations using topological degree method
- A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space
- Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps
- Stress wave propagation in different number of fissured rock mass based on nonlinear analysis
- Analytical predictor–corrector entry guidance for hypersonic gliding vehicles
- Solving a linear fractional equation with nonlocal boundary conditions based on multiscale orthonormal bases method in the reproducing kernel space
- Anthropogenic climate change on a non-linear arctic sea-ice model of fractional Duffing oscillator
- Abundant rogue wave solutions for the (2 + 1)-dimensional generalized Korteweg–de Vries equation
- Invariant solutions of fractional-order spatio-temporal partial differential equations
