Results 81 to 90 of about 6,081 (189)

Convergence in Symbiont‐Induced Plant‐Mediated Responses to Herbivory: Cascading Effects for Foraging Parasitoids

Ecology Letters, Volume 28, Issue 8, August 2025.
Polydnaviruses represent a striking example of convergent evolution. These viruses, divided into bracoviruses and ichnoviruses, were independently acquired by braconid and ichneumonid parasitoid wasps respectively, to deliver pathogenic genes to caterpillar hosts.
Antonino Cusumano, Serge Urbach, Veronique Jouan, Heiko Vogel, Marcel Dicke, Anne‐Nathalie Volkoff, Erik H. Poelman   +6 more
wiley   +1 more source

On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2010
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations
Sergey Ya. Startsev
doaj   +1 more source

Discrete Integrable Principal Chiral Field Model and Its Involutive Reduction

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT We discuss an integrable discretization of the principal chiral field models equations and its involutive reduction. We present a Darboux transformation and general construction of soliton solutions for these discrete equations.
J. L. Cieśliński, A. V. Mikhailov, M. Nieszporski, F. W. Nijhoff   +3 more
wiley   +1 more source

Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras $A_N$, $B_N$, $C_N$, $G_2$, $D_3$, $A_1^{(1)}$, $A_2^{(2)}$, $D^{(2)}_N$ these systems are proved to be ...
Rustem Garifullin, Ismagil Habibullin, Marina Yangubaeva   +2 more
doaj   +1 more source

Galoisian Approach to integrability of Schr\"odinger Equation [PDF]

, 2010
In this paper, we examine the non-relativistic stationary Schr\"odinger equation from a differential Galois-theoretic perspective. The main algorithmic tools are pullbacks of second order ordinary linear differential operators, so as to achieve rational ...
Dedicated To Jerry Kovacic, In Memoriam, Jacques-arthur Weil, Juan J. Morales-ruiz, Primitivo B. Acosta-humánez   +4 more
core  

Geometrical aspects of integrable systems

, 2008
We review some basic theorems on integrability of Hamiltonian systems, namely the Liouville-Arnold theorem on complete integrability, the Nekhoroshev theorem on partial integrability and the Mishchenko-Fomenko theorem on noncommutative integrability, and
Bambusi D., Dazord P., EMANUELE FIORANI, Fassò F., Fiorani E., Greub W., Griffiths P., Guillemin V., Kobayashi S., Nekhoroshev N. N., Palais R. S., Woodhouse N. M. J.   +11 more
core   +2 more sources

Transformations of Darboux Integrable Systems

, 2009
This article reviews some recent theoretical results about the structure of Darboux integrable differential systems and their relationship with symmetry reduction of exterior differential systems. The symmetry reduction representation of Darboux integrable equations is then used to derive some new and unusual transformations.
Anderson, Ian M., Fels, Mark E.
openaire   +2 more sources

Product of Exponentials (POE) Splines on Lie‐Groups: Limitations, Extensions, and Application to SO(3)$$ SO(3) $$ and SE(3)$$ SE(3) $$

International Journal for Numerical Methods in Engineering, Volume 126, Issue 14, 30 July 2025.
ABSTRACT Existing methods for constructing splines and Bézier curves on a Lie group G$$ G $$ involve repeated products of exponentials deduced from local geodesics, w.r.t. a Riemannian metric, or rely on general polynomials. Moreover, each of these local curves is supposed to start at the identity of G$$ G $$.
Andreas Müller
wiley   +1 more source

Uncovering fine‐scale surface flow dynamics with particle tracking velocimetry: A new benchmark for soil erosion modelling

Earth Surface Processes and Landforms, Volume 50, Issue 9, Page 1-18, July 2025.
This study introduces a camera‐based approach for distributed, high‐resolution flow velocity measurements during artificial rainfall simulations, using particle tracking velocimetry (PTV). The results demonstrate PTV's potential as a robust and easily implementable tool for improving runoff model assessment and process understanding at small scales ...
Lea Epple, Anne Bienert, Oliver Grothum, Jonas Lenz, Anette Eltner   +4 more
wiley   +1 more source

First integrals in a cubic differential system with one invariant straight line and one invariant cubic

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In this paper we find conditions for a singular point O(0, 0) of a center or a focus type to be a center, in a cubic differential system with one invariant straight line and one invariant cubic.
Dumitru Cozma
doaj   +1 more source